Evolution property of soliton solutions for the Whitham－Broer－Kaup equation and variant Boussinesq equation
Lin Ji (林机)ab, Xu You-Sheng (许友生)a, Wu Feng-Min (吴锋民)a
a Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; b Department of Physics, Shanghai Jiaotong University, Shanghai 200030, China
Abstract Using the standard Painlevé analysis approach, the (1+1)-dimensional Whitham－Broer－Kaup (WBK) and variant Boussinesq equations are solved. Some significant and exact solutions are given. We investigate the behaviour of the interactions between the multi-soliton-kink-type solution for the WBK equation and the multi-solitonic solutions and find the interactions are not elastic. The fission of solutions for the WBK equation and the fusions of those for the variant Boussinesq equation may occur after their interactions.
Received: 17 February 2003
Revised: 21 April 2003
Accepted manuscript online:
PACS:
02.30.Jr
(Partial differential equations)
Fund: Project supported by the National Outstanding Youth Foundation of China (Grant No 19925522), the National Natural Science Foundation of China (Grant No 90203001) and the Natural Science Foundation of Zhejiang Province, China (Grant No 102053).
Cite this article:
Lin Ji (林机), Xu You-Sheng (许友生), Wu Feng-Min (吴锋民) Evolution property of soliton solutions for the Whitham－Broer－Kaup equation and variant Boussinesq equation 2003 Chinese Physics 12 1049
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
